Non-extreme variant of support management model of a production-supply system with the structural process of product supply

• Authors: GALANC Tadeusz , KOŁWZAN Wiktor , PIERONEK Jerzy
• Languages of publication: EN

Abstracts

EN

The paper is dedicated to building a probabilistic analysis method of functioning a productionsupply system with the structural process of product supply. This analysis is carried out in the nonextreme variant of warehouse filling level to which two independent streams of production (of the product) are directed by means of a transport subsystem. For this variant, four sets of equations that fulfilled the density function determining state probabilities of a multidimensional process characterizing operations of the system examination were derived.

Keywords

EN

production-supply system; process, product supply; non-extremal state; set of equations

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2019
• Volume: 29
• Issue: 2
• Pages: 43-53

Contributors

author

GALANC Tadeusz

• College of Management „Edukacja”, ul. Krakowska 56–62, 50-425 Wrocław, Poland

author

KOŁWZAN Wiktor

• Department of Management, General Tadeusz Kościuszko Military University of Land Forces in Wrocław, ul. Czajkowskiego 109, 51-150 Wrocław, Poland

author

PIERONEK Jerzy

• Faculty of Computer Science and Management, Wrocław University of Science and Technology, ul. Łukasiewicza 5, 50-371 Wrocław, Poland

References

• GALANC T., Conditional probabilities of non-extreme states describing the bottleneck of a certain inventory system with an aggregated dynamic-parameter input, Model., Measure. Control, 1998, 17, (1/2), 27–35.
• GALANC T., Relationships between probability distributions of the maximum level of stocks and parameters of a not aggregated process of product supply, Przegl. Stat., 1998, 45, 2, 177–182.
• GALANC T., Mathematical analysis of a certain system operation for collection and issuance of stocks with dynamic parameters of a not aggregated process of product supply, Przegl. Stat., 1998, 45 (2), 227–233.
• GALANC T., Conditional probabilities of low states describing the bottleneck of a certain inventory system with an aggregated dynamic-parameter input, System, 2004, 9, 1/2, 61–65.
• GALANC T., KOŁWZAN W., PIERONEK J., A quantitative management support model of a certain production supply system in non-extreme states, Oper. Res. Dec., 2012, 22 (1), 5–12.
• GALANC T., KOŁWZAN W., PIERONEK J., A quantitative management support model of a certain production-supply system. Boundary conditions, Oper. Res. Dec., 2012, 22 (2), 5–13.
• GALANC T., KOŁWZAN W., PIERONEK J., Probabilistic characteristics supporting the management of production-supply system, Oper. Res. Dec., 2017, 27, 3, 51–63.
• GICHMAN I.I., SKOROCHOD A.W., Introduction to the theory of stochastic processes, PWN, Warsaw 1968.
• KRÓL M., LIANA M., The impact of the installation location of a warehouse container in the transport system on the losses caused by the deficit or overfilling, Oper. Res. Dec., 1997, 2, 41–48.
• KRÓL M., About evaluation factors of unfavorable effects in the operation of a inventory management system, Oper. Res. Dec., 1992, 4, 55–68.
• KURATOWSKI K., Differential and integral calculus, PWN, Warsaw 2005.
• MERCIK J., GALANC T., Relations between probabilities of high states describing the bottleneck of certain inventory system and the dynamic parameters of an aggregated input, Systems, 2007, 12 (3), 3–7.
• MERCIK J., GALANC T., A mathematical description of a bottleneck in a certain inventory system in the case of an aggregated dynamic-parameter input, System, 2008, 13, 1/2, 12–20.
• RUDI N., KAPUR S., PYKE D.F., Two-location inventory model with transshipment and local decision making, Manage. Sci., 2001, 47, 1668–1680.
• SO K.C., Optimal buffer allocation strategy for minimizing work-in process inventory in unpacked production lines, IEEE Trans., 1997, 29, 81–88.
• [16] ŚWIĄTEK J., GALANC T., Probabilities of an upper barrier in the problem of the identification of barrier in the functioning of a certain inventory storage and issue system, Sys. Sci., 2008, 34 (3), 5–9.
• ŚWIĄTEK J., GALANCT., Identification of barrier in the functioning of a certain inventory storage and issue system, Sys. Sci., 2010, 36 (2), 11–14.
• WANG Y., COHEN M.A., ZHENG Y.S., Two-echelon repairable inventory system with stocking-center dependent depot replenishment lead times, Manage. Sci., 2000, 46, 1441–1453.
• GALANC T., Conditional probabilities of non-extreme states describing the bottleneck of a certain inventory system with an aggregated dynamic-parameter input, Model., Measure. Control, 1998, 17, (1/2), 27–35.
• GALANC T., Relationships between probability distributions of the maximum level of stocks and parameters of a not aggregated process of product supply, Przegl. Stat., 1998, 45, 2, 177–182.
• GALANC T., Mathematical analysis of a certain system operation for collection and issuance of stocks with dynamic parameters of a not aggregated process of product supply, Przegl. Stat., 1998, 45 (2), 227–233.
• GALANC T., Conditional probabilities of low states describing the bottleneck of a certain inventory system with an aggregated dynamic-parameter input, System, 2004, 9, 1/2, 61–65.
• GALANC T., KOŁWZAN W., PIERONEK J., A quantitative management support model of a certain production supply system in non-extreme states, Oper. Res. Dec., 2012, 22 (1), 5–12.
• GALANC T., KOŁWZAN W., PIERONEK J., A quantitative management support model of a certain production-supply system. Boundary conditions, Oper. Res. Dec., 2012, 22 (2), 5–13.
• GALANC T., KOŁWZAN W., PIERONEK J., Probabilistic characteristics supporting the management of production-supply system, Oper. Res. Dec., 2017, 27, 3, 51–63.
• GICHMAN I.I., SKOROCHOD A.W., Introduction to the theory of stochastic processes, PWN, Warsaw 1968.
• KRÓL M., LIANA M., The impact of the installation location of a warehouse container in the transport system on the losses caused by the deficit or overfilling, Oper. Res. Dec., 1997, 2, 41–48.
• KRÓL M., About evaluation factors of unfavorable effects in the operation of a inventory management system, Oper. Res. Dec., 1992, 4, 55–68.
• KURATOWSKI K., Differential and integral calculus, PWN, Warsaw 2005.
• MERCIK J., GALANC T., Relations between probabilities of high states describing the bottleneck of certain inventory system and the dynamic parameters of an aggregated input, Systems, 2007, 12 (3), 3–7.
• MERCIK J., GALANC T., A mathematical description of a bottleneck in a certain inventory system in the case of an aggregated dynamic-parameter input, System, 2008, 13, 1/2, 12–20.
• RUDI N., KAPUR S., PYKE D.F., Two-location inventory model with transshipment and local decision making, Manage. Sci., 2001, 47, 1668–1680.
• SO K.C., Optimal buffer allocation strategy for minimizing work-in process inventory in unpacked production lines, IEEE Trans., 1997, 29, 81–88.
• ŚWIĄTEK J., GALANC T., Probabilities of an upper barrier in the problem of the identification of barrier in the functioning of a certain inventory storage and issue system, Sys. Sci., 2008, 34 (3), 5–9.
• ŚWIĄTEK J., GALANCT., Identification of barrier in the functioning of a certain inventory storage and issue system, Sys. Sci., 2010, 36 (2), 11–14.
• WANG Y., COHEN M.A., ZHENG Y.S., Two-echelon repairable inventory system with stocking-center dependent depot replenishment lead times, Manage. Sci., 2000, 46, 1441–1453.

Identifiers

DOI

10.5277/ord190203