Approximating the Solution of Optimal Control Problems by Fuzzy Systems

Pakdaman, Morteza; Effati, Sohrab

doi:10.1007/s11063-015-9440-7

Cited by 16 publications

(4 citation statements)

References 23 publications

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“….,9, respectively. There are several approaches to solve linear-quadratic optimal control problems (Pakdaman and Effati, 2016;Effati and Pakdaman, 2013). Especially in this study, the study followed the proposed method in Pakdaman (2018a, 2018b).…”

Section: Model Summarymentioning

confidence: 99%

A continuous-time optimal control model for workforce planning considering human resource strategies (HRS)

Pooya

Pakdaman²,

Ebrahimpour

2020

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Purpose This paper aims to present a continuous-time workforce planning model in which workforce flow occurs in terms of internal and external recruitment considering human resource strategies (HRS). The proposed model is a linear optimal control model in which promotions occur by inside appointment and outside employment of the system considering a cost leadership or a differentiation strategy and whether organizations have an internal or an external recruitment orientation. In other words, in the model and its solution procedure, this paper could determine any arbitrary function for the demand of the workforce with each HRS. Design/methodology/approach The proposed model contains five main sections, namely, applicants, newcomers, workforce who are doing sensitive-simple jobs, expert workforce and supervisors (or managers) that have a different orientation in different HRS. Each of these sections has a target value that this paper tries to attain it by applying appropriate control variables, such as recruitment, layoff, degradation, promotion and retirement. To reach this purpose, this paper formulated an optimal control problem using a linear system transition equation with a quadratic cost function. Findings Based on the proposed model, it was found that the optimal control model can interpret the managerial aspects. This model could be useful for different firms with different types of workforce demands. This paper has tried to have a comprehensive view of different flows of the workforce in an organization that concern to workforce planning. Originality/value Despite the considerable amount of research published, and the importance of following a human resources strategy from organizational strategy, in the knowledge, there is no comprehensive study dedicated to human resources strategy and workforce planning by optimal control models for workforce planning.

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Section: Model Summarymentioning

confidence: 99%

A continuous-time optimal control model for workforce planning considering human resource strategies (HRS)

Pooya

Pakdaman²,

Ebrahimpour

2020

Self Cite

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“…which is a well known two point boundary value problem (TPBVP). There are several numerical and analytical approaches for solving (10) (see for example Pakdaman and Effati 2016;Effati and Pakdaman 2013). Note that Eq.…”

Section: Solution Proceduresmentioning

confidence: 99%

Optimal control model for finite capacity continuous MRP with deteriorating items

Pooya

Pakdaman²

2017

J Intell Manuf

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A general model for continuous material requirements planning problem is proposed which contains of reworking of returned items along with deterioration of items. In the proposed model there are separated stocks for manufactured, returned and reworked items and also it is possible to consider returned items from both inventories of manufactured and reworked items. A general finite time linear quadratic optimal control problem is presented to attain the goal values for inventories, demands and productions. The goal values for inventories, demands and production can be considered as the capacity of stocks, scheduled demand and capacity of transportation respectively. Since the time is considered as a continuous parameter, the carrying cost of production process is more real than the periodic approach wherein time is considered as a discrete parameter. Finally a solution method is presented and numerical simulations are provided to validate the approach. KeywordsContinuous material requirements planning (CMRP) • Finite capacity MRP • Deterioration • Linear quadratic optimal control • Pontryagin minimum principle B Alireza Pooya

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“…Also an optimal control problem with time delayed is solved in [14] based on Pontryagin's maximum principle. Closed form approximate solution was adopted by [15] for solving linear quadratic (OCP) with the aid of pontryagin's maximum principle. In addition, estimate solution of Crip (OCP) is presented [16] based on Euler-Lagrange conditions for more words on numerical solution of (OCPs) can be found in [17][18][19].…”

Section: -Introductionmentioning

confidence: 99%

State Parameterization Basic Spline Functions for Trajectory Optimization

Delphi¹

2019

Journal of Natural Sciences, Life and Applied Sciences

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An important type of basic functions named basis spline (B-spline) is provided a simpler approximate and more stable approach to solve problems in optimal control. Furthermore, it can be proved that with special knot sequence, the B-spline basis are exactly Bernstein polynomials. The approximate technique is based on state variable is approximate as a linear combination of B-spline then anon linear optimization problem is obtained and the optimal coefficients are calculated using an iterative algorithm. Two different examples are tested using the proposed algorithm.

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Approximating the Solution of Optimal Control Problems by Fuzzy Systems

Cited by 16 publications

References 23 publications

A continuous-time optimal control model for workforce planning considering human resource strategies (HRS)

A continuous-time optimal control model for workforce planning considering human resource strategies (HRS)

Optimal control model for finite capacity continuous MRP with deteriorating items

State Parameterization Basic Spline Functions for Trajectory Optimization

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