(PDF) The Assignment Problem in Human Resource Project Management under
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Uncertain random assignment problem
Other scholars have discussed the semi-assignment problem [4], the minimum deviation assignment problem [5] ... Hence, it is shown that randomness and human uncertainty coexist in the assignment problem. Students with different special abilities will perform different tasks. Students with high academic ability are mainly responsible for the ...
Assignment problems: A golden anniversary survey
Kouvelis and Yu [37] discuss the formulation of and present a solution procedure for the assignment problem under uncertainty, which they call the robust assignment problem. The key concept behind this approach to solving the AP is the decision maker's recognition that, in Kouvelis and Yu's words, "for any potentially realizable scenario ...
PDF Uncertain random assignment problem
Uncertainty Modelling, Uncertain random simulation, Uncertain variable, Uncertain random variable, Assignment problem 1. Introduction The Classic Assignment Problem is one of the fundamental problems in the area of combinatorial optimization. Easterfield [1] first studied the algo-rithm for the Classic Assignment Problem. Kuhn [2] proposed ...
Solving Assignment Problem Using Decision Under Uncertainty ...
We use a new technique to solve the assignment problem [] which is related to decision under uncertainty [] and game theory [] but differing from both techniques.This novel strategy offers a smooth approach to solve the assignment problem. This technique is also used to solve an issue, and the results are compared to decision under uncertainty and game theory [].
A robust optimization solution to bottleneck generalized assignment
We consider two versions of bottleneck (or min-max) generalized assignment problem (BGAP) under capacity uncertainty: Task-BGAP and Agent-BGAP. A robust optimization approach is employed to study this issue. The decision maker's degree of risk aversion and the penalty weighting parameter are incorporated into the objective function. A state-of-the-art linearization method is introduced ...
PDF The Assignment Problem in Human Resource Project Management under
Keywords: assignment problem; human resource project management; uncertainty and risk; innova-tive and innovation projects; turbulent times; mathematical model and optimization 1. Introduction 1.1. The Assignment Problem as an Element of Human Project Resource Management The assignment problem (AP) is broadly known as a deterministic and combina-
Addressing capacity uncertainty in resource-constrained assignment problems
In a recent study, Toktas et al. [9] address the resource-constrained generalizations of the assignment problem with capacity uncertainty. They propose three stochastic programming formulations that can be used to solve these problems, and provide exact and approximate solution techniques for the resulting models. The results for a large set of ...
Task assignment under uncertainty: stochastic programming and robust
The assignment of tasks to teams is a challenging combinatorial optimisation problem. The uncertainty in the tasks' execution processes further complicates the assignment decisions. This study investigates a variant of the typical assignment problem, in which each task can be divided into two parts, one is deterministic and the other is ...
Triply stochastic sequential assignment problem with the uncertainty in
The Sequential Stochastic Assignment Problem (SSAP), introduced by Derman et al. [1], lies in non-anticipatively assigning workers with given success rates to sequentially arriving jobs to maximize the total expected reward over all assignments; every job's value follows a given distribution and remains unknown until the job presents itself to the workers. The problem's variations have ...
Assessing optimal assignment under uncertainty: An interval-based
We consider the problem of multi-robot task-allocation when robots have to deal with uncertain utility estimates. Typically an allocation is performed to maximize expected utility; we consider a means for measuring the robustness of a given optimal allocation when robots have some measure of the uncertainty (e.g. a probability distribution, or moments of such distributions).
PDF Fairness in the Assignment Problem with Uncertain Priorities∗
This uncertainty can express the possibility of bias in the generation of the priority ranking. We believe we are the first to explicitly formulate and study the assignment problem with uncertain priorities. We introduce two natural notions of fairness in this problem: stochastic envy-freeness (SEF) and likelihood envy-freeness (LEF). We
Assessing optimal assignment under uncertainty: An interval-based
We consider the problem of multi-robot task-allocation when robots have to deal with uncertain utility estimates. Typically an allocation is performed to maximize expected utility; we consider a means for measuring the robustness of a given optimal allocation when robots have some measure of the uncertainty (e.g. a probability distribution, or moments of such distributions).
Task assignment under uncertainty: stochastic programming and robust
The assignment of tasks to teams is a challenging combinatorial optimisation problem. The uncertainty in the tasks' execution processes further complicates the assignment decisions. This study investigates a variant of the typical assignment problem, in which each task can be divided into two parts, one is deterministic and the other is ...
The Assignment Problem in Human Resource Project Management under
The assignment problem (AP) is a discrete and combinatorial problem where agents are assigned to perform tasks for efficiency maximization or cost (time) minimization. AP is a part of human ...
PDF Assessing Optimal Assignment under Uncertainty: An Interval-based Algorithm
state of the graph after an assignment, we term the resultant bipartite graph. (Viewed in gray scale the so called green edges are thiner, red edges are the darker bold edges, gray edges are the lighter bold edges.), Figure 1 shows an example assignment problem and the corresponding per-fect matching in the form of the associated bipartite graph.
PDF The Assignment Problem in Human Resource Project Management under
Keywords: assignment problem; human resource project management; uncertainty and risk; in‐ novative and innovation projects; turbulent times; mathematical model and optimization 1. Introduction 1.1. The Assignment Problem as an Element of Human Project Resource Management
Uncertain programming model for uncertain optimal assignment problem
Within the framework of uncertain programming, it gives the uncertainty distribution of the optimal assignment profit, and the concept of α -optimal assignment for uncertain optimal assignment problem is proposed. Then α -optimal model is also constructed. Taking advantage of properties of uncertainty theory, α -optimal model can be ...
Risks
The assignment problem (AP) is a discrete and combinatorial problem where agents are assigned to perform tasks for efficiency maximization or cost (time) minimization. AP is a part of human resource project management (HRPM). The AP optimization model, with deterministic parameters describing agent-task performance, can be easily solved, but it is characteristic of standard, well-known ...
Uncertain programming model for uncertain optimal assignment problem
Mathematics, Computer Science. 2019. TLDR. Within the framework of uncertainty theory and uncertain programming, three models for uncertain assignment problem with restriction of qualification are constructed, i.e., expected minimum balance assignment model, α-minimum balance assignments model, and α- minimum unbalance assignment model. Expand.
Operational patient-bed assignment problem in large hospital ...
In essence, this leads to an assignment problem that respects the diverse interests of patients, nurses, doctors and hospital management while simultaneously considering medical, gender, and capacity constraints. ... Ceschia S, Schaerf A (2012) Modeling and solving the dynamic patient admission scheduling problem under uncertainty. Artif Intell ...
Decision Making Under Uncertainty and Problem Solving
Abstract. Uncertainty arises because of ignorance or the absence of information in any situation. Probability, risk, and randomness are concepts closely related to uncertainty that significantly ...
Reactive strategy for discrete berth allocation and quay crane
Study the berth allocation and quay crane assignment problem under uncertainty. • A reactive strategy is proposed to conduct the disruptions. • A rolling horizon heuristic is presented to derive good feasible solutions. • Computational experiments are conducted to verify the effectiveness of the algorithm and strategy.
PDF Fairness in the Assignment Problem with Uncertain Priorities
This uncertainty can express the possibility of bias in the genera-tion of the priority ranking. We believe we are the first to explicitly formulate and study the assignment problem with uncertain priori-ties. We introduce two natural notions of fairness in this problem: stochastic envy-freeness (SEF) and likelihood envy-freeness (LEF).
Berth allocation and quay crane assignment/scheduling problem under
The integration of berth allocation problem (BAP) and quay crane assignment problem (QCAP) is an cardinal seaside operations planning, which is susceptible to uncertainties, e.g. uncertain vessels ...
[2404.15098] Uncertainty Quantification of Data-Driven Output
We revisit the problem of predicting the output of an LTI system directly using offline input-output data (and without the use of a parametric model) in the behavioral setting. Existing works calculate the output predictions by projecting the recent samples of the input and output signals onto the column span of a Hankel matrix consisting of the offline input-output data. However, if the ...
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Other scholars have discussed the semi-assignment problem [4], the minimum deviation assignment problem [5] ... Hence, it is shown that randomness and human uncertainty coexist in the assignment problem. Students with different special abilities will perform different tasks. Students with high academic ability are mainly responsible for the ...
Kouvelis and Yu [37] discuss the formulation of and present a solution procedure for the assignment problem under uncertainty, which they call the robust assignment problem. The key concept behind this approach to solving the AP is the decision maker's recognition that, in Kouvelis and Yu's words, "for any potentially realizable scenario ...
Uncertainty Modelling, Uncertain random simulation, Uncertain variable, Uncertain random variable, Assignment problem 1. Introduction The Classic Assignment Problem is one of the fundamental problems in the area of combinatorial optimization. Easterfield [1] first studied the algo-rithm for the Classic Assignment Problem. Kuhn [2] proposed ...
We use a new technique to solve the assignment problem [] which is related to decision under uncertainty [] and game theory [] but differing from both techniques.This novel strategy offers a smooth approach to solve the assignment problem. This technique is also used to solve an issue, and the results are compared to decision under uncertainty and game theory [].
We consider two versions of bottleneck (or min-max) generalized assignment problem (BGAP) under capacity uncertainty: Task-BGAP and Agent-BGAP. A robust optimization approach is employed to study this issue. The decision maker's degree of risk aversion and the penalty weighting parameter are incorporated into the objective function. A state-of-the-art linearization method is introduced ...
Keywords: assignment problem; human resource project management; uncertainty and risk; innova-tive and innovation projects; turbulent times; mathematical model and optimization 1. Introduction 1.1. The Assignment Problem as an Element of Human Project Resource Management The assignment problem (AP) is broadly known as a deterministic and combina-
In a recent study, Toktas et al. [9] address the resource-constrained generalizations of the assignment problem with capacity uncertainty. They propose three stochastic programming formulations that can be used to solve these problems, and provide exact and approximate solution techniques for the resulting models. The results for a large set of ...
The assignment of tasks to teams is a challenging combinatorial optimisation problem. The uncertainty in the tasks' execution processes further complicates the assignment decisions. This study investigates a variant of the typical assignment problem, in which each task can be divided into two parts, one is deterministic and the other is ...
The Sequential Stochastic Assignment Problem (SSAP), introduced by Derman et al. [1], lies in non-anticipatively assigning workers with given success rates to sequentially arriving jobs to maximize the total expected reward over all assignments; every job's value follows a given distribution and remains unknown until the job presents itself to the workers. The problem's variations have ...
We consider the problem of multi-robot task-allocation when robots have to deal with uncertain utility estimates. Typically an allocation is performed to maximize expected utility; we consider a means for measuring the robustness of a given optimal allocation when robots have some measure of the uncertainty (e.g. a probability distribution, or moments of such distributions).
This uncertainty can express the possibility of bias in the generation of the priority ranking. We believe we are the first to explicitly formulate and study the assignment problem with uncertain priorities. We introduce two natural notions of fairness in this problem: stochastic envy-freeness (SEF) and likelihood envy-freeness (LEF). We
We consider the problem of multi-robot task-allocation when robots have to deal with uncertain utility estimates. Typically an allocation is performed to maximize expected utility; we consider a means for measuring the robustness of a given optimal allocation when robots have some measure of the uncertainty (e.g. a probability distribution, or moments of such distributions).
The assignment of tasks to teams is a challenging combinatorial optimisation problem. The uncertainty in the tasks' execution processes further complicates the assignment decisions. This study investigates a variant of the typical assignment problem, in which each task can be divided into two parts, one is deterministic and the other is ...
The assignment problem (AP) is a discrete and combinatorial problem where agents are assigned to perform tasks for efficiency maximization or cost (time) minimization. AP is a part of human ...
state of the graph after an assignment, we term the resultant bipartite graph. (Viewed in gray scale the so called green edges are thiner, red edges are the darker bold edges, gray edges are the lighter bold edges.), Figure 1 shows an example assignment problem and the corresponding per-fect matching in the form of the associated bipartite graph.
Keywords: assignment problem; human resource project management; uncertainty and risk; in‐ novative and innovation projects; turbulent times; mathematical model and optimization 1. Introduction 1.1. The Assignment Problem as an Element of Human Project Resource Management
Within the framework of uncertain programming, it gives the uncertainty distribution of the optimal assignment profit, and the concept of α -optimal assignment for uncertain optimal assignment problem is proposed. Then α -optimal model is also constructed. Taking advantage of properties of uncertainty theory, α -optimal model can be ...
The assignment problem (AP) is a discrete and combinatorial problem where agents are assigned to perform tasks for efficiency maximization or cost (time) minimization. AP is a part of human resource project management (HRPM). The AP optimization model, with deterministic parameters describing agent-task performance, can be easily solved, but it is characteristic of standard, well-known ...
Mathematics, Computer Science. 2019. TLDR. Within the framework of uncertainty theory and uncertain programming, three models for uncertain assignment problem with restriction of qualification are constructed, i.e., expected minimum balance assignment model, α-minimum balance assignments model, and α- minimum unbalance assignment model. Expand.
In essence, this leads to an assignment problem that respects the diverse interests of patients, nurses, doctors and hospital management while simultaneously considering medical, gender, and capacity constraints. ... Ceschia S, Schaerf A (2012) Modeling and solving the dynamic patient admission scheduling problem under uncertainty. Artif Intell ...
Abstract. Uncertainty arises because of ignorance or the absence of information in any situation. Probability, risk, and randomness are concepts closely related to uncertainty that significantly ...
Study the berth allocation and quay crane assignment problem under uncertainty. • A reactive strategy is proposed to conduct the disruptions. • A rolling horizon heuristic is presented to derive good feasible solutions. • Computational experiments are conducted to verify the effectiveness of the algorithm and strategy.
This uncertainty can express the possibility of bias in the genera-tion of the priority ranking. We believe we are the first to explicitly formulate and study the assignment problem with uncertain priori-ties. We introduce two natural notions of fairness in this problem: stochastic envy-freeness (SEF) and likelihood envy-freeness (LEF).
The integration of berth allocation problem (BAP) and quay crane assignment problem (QCAP) is an cardinal seaside operations planning, which is susceptible to uncertainties, e.g. uncertain vessels ...
We revisit the problem of predicting the output of an LTI system directly using offline input-output data (and without the use of a parametric model) in the behavioral setting. Existing works calculate the output predictions by projecting the recent samples of the input and output signals onto the column span of a Hankel matrix consisting of the offline input-output data. However, if the ...