Preemptive Possibilistic Linear Programming:Application to Aggregate Production Planning
This research proposes a Preemptive Possibilistic
Linear Programming (PPLP) approach for solving multiobjective
Aggregate Production Planning (APP) problem with interval demand
and imprecise unit price and related operating costs. The proposed
approach attempts to maximize profit and minimize changes of
workforce. It transforms the total profit objective that has imprecise
information to three crisp objective functions, which are maximizing
the most possible value of profit, minimizing the risk of obtaining the
lower profit and maximizing the opportunity of obtaining the higher
profit. The change of workforce level objective is also converted.
Then, the problem is solved according to objective priorities. It is
easier than simultaneously solve the multiobjective problem as
performed in existing approach. Possible range of interval demand is
also used to increase flexibility of obtaining the better production
plan. A practical application of an electronic company is illustrated to
show the effectiveness of the proposed model.
[1] F. Hanssmann and S.W. Hess, "A linear programing approach to
production and employment scheduling," Management science, vol. 1,
pp. 46-51, 1960.
[2] D.A. Goodman, "A goal programing approach to aggregate planing of
production and workfore," Management science, vol. 20, pp. 1569-
1575, 1974.
[3] S. Eilon, "Five approach to agregate production planing," AIIE
Transection, vol. 7, pp. 118-131, 1975.
[4] S.M., Masud, C.L. Hwang, . "An aggregate production planing model
and application of three multiple objective decision method,"
International of production research, vol. 18, pp. 123-138, 1980.
[5] R.C. Wang, Liang T.F., "Applying possibilistic linear programing to
aggregate production planing," Int.J. of Production economics, vol. 98,
pp. 328-341, 2005.
[6] H.J. Zimmermann, " Description and optimization of fuzzy system," Int.
J. of Gernaral system, vol. 2, pp. 209-215, 1976.
[7] H.J. Zimmermann, " Fuzzy programming and linear programming with
several objective functions," Fuzzy Sets and Systems, vol. 1, pp. 45-56,
1978.
[8] RE. Bellman, LA. Zadeh. " Decision making in fuzzy environment,"
Manage Sci, vol. 17, pp. 141-164, 1970.
[9] R.C. Wang, Liang T.F., "Application of fuzzy multi-objective linear
programming to aggregate production planing," Computer & Industrial
Engineering, vol. 46, pp. 17-41, March 2004.
[10] T. F. Liang, "Distribution planning decision using interactive fuzzy
multiobjective linear programming," Fuzzy set and systems, vol.157, pp.
1303-1316, May 2006.
[11] J. Tang, D. Wang and R.Y.K.Fung, "Fuzzy formulation for multiproduct
aggregate production planning," Production planning and
control, vol 11, pp.670-676, 2000.
[12] L.A. Zadeh , " Fuzzy sets as a basis theory of possibility," Fuzzy set and
System, vol. 1, pp. 3-28, 1978.
[13] E. Muela, G. Schweickardt and F. Garces, "Fuzzy possibilistic model
for medium-term power geration planning with environment criteria,"
Energy policy, vol. 35, pp.5643-5655, 2007.
[14] P. M. Vasant, N.N. Barsoum and A. Bhattacharya, "Possibilistic
optimization in planning decision of construction industry," Int. J.
Production Economics, vol. 111, 2008.
[15] Y.J. Lai and R.C. Wang, "A new approach to some possibilistic linear
programming problems," Fuzzy sets and systems, vol. 49, pp. 121-133,
1992.
[16] H.-M. Hsu and W.-P. Wang, " Possibilistic programming in production
planning of assemble-to-order environment," Fuzzy Sets and Systems,
vol.119, pp. 59-70, 2001.
[17] S.A.Torabi and E.Hassini, "An interaticve possibilistic programming
approach for multiple objective supply chain master planning," Fuzzy
Sets and Systems, vol. 159, pp. 193-214, 2008.
[18] M.A.Parra, A.B. Terol, B.P. Gladish and M.V.R. Uria, "Solving
multiobjective possibilistic problem through compromise
programming," European Journal of Operational Research, vol. 164,
pp.748-759, 2005.
[19] M.S. Pishvaee and S.A. Torabi, "A possibilistic programming approach
for closed loop supply chain network design under uncertainty," Fuzzy
Sets an Systems, vol. 161, pp.1609-1613, 2010.
[20] D.Ozgen, S. Onut, B.Gulsun, U.R. Tuzkaya and G. Tuzkaya, "A twophase
possibilistic linear programming methodology for multi-objective
supplier evaulation and order allocation problems," Information
Sciences, vol. 178, pp. 485-500, 2008.
[21] Y.P.Li and G.H.Huang, "An interval-based possibilistic programming
method for waste management with cost minimization and
environment-impact abatement under uncertainty," Science of the total
environment, vol. 408, pp. 4296-4308, 2010.
[22] O. Kabak and F.Ulengin, "Possibilistic linear-programming approach
for supply chain networking decisions," European journal of operational
research, vol. 209, pp. 253-264, 2011.
[23] Y.-J. Lai nad C.-L. Hwang, Lecture notes in economics and
mathematical systems: Fuzzy multiple objective decision making,
methods and applications. Springer: Great Britain, 1996.
[24] P. Surapati and R.T.Kumar, "Multiobjective transportation model with
fuzzy parameters: Priority based fuzzy goal programming approach,"
Journal of transporation system engineering and information
technology, vol. 8, pp. 40-48, June 2008.
[1] F. Hanssmann and S.W. Hess, "A linear programing approach to
production and employment scheduling," Management science, vol. 1,
pp. 46-51, 1960.
[2] D.A. Goodman, "A goal programing approach to aggregate planing of
production and workfore," Management science, vol. 20, pp. 1569-
1575, 1974.
[3] S. Eilon, "Five approach to agregate production planing," AIIE
Transection, vol. 7, pp. 118-131, 1975.
[4] S.M., Masud, C.L. Hwang, . "An aggregate production planing model
and application of three multiple objective decision method,"
International of production research, vol. 18, pp. 123-138, 1980.
[5] R.C. Wang, Liang T.F., "Applying possibilistic linear programing to
aggregate production planing," Int.J. of Production economics, vol. 98,
pp. 328-341, 2005.
[6] H.J. Zimmermann, " Description and optimization of fuzzy system," Int.
J. of Gernaral system, vol. 2, pp. 209-215, 1976.
[7] H.J. Zimmermann, " Fuzzy programming and linear programming with
several objective functions," Fuzzy Sets and Systems, vol. 1, pp. 45-56,
1978.
[8] RE. Bellman, LA. Zadeh. " Decision making in fuzzy environment,"
Manage Sci, vol. 17, pp. 141-164, 1970.
[9] R.C. Wang, Liang T.F., "Application of fuzzy multi-objective linear
programming to aggregate production planing," Computer & Industrial
Engineering, vol. 46, pp. 17-41, March 2004.
[10] T. F. Liang, "Distribution planning decision using interactive fuzzy
multiobjective linear programming," Fuzzy set and systems, vol.157, pp.
1303-1316, May 2006.
[11] J. Tang, D. Wang and R.Y.K.Fung, "Fuzzy formulation for multiproduct
aggregate production planning," Production planning and
control, vol 11, pp.670-676, 2000.
[12] L.A. Zadeh , " Fuzzy sets as a basis theory of possibility," Fuzzy set and
System, vol. 1, pp. 3-28, 1978.
[13] E. Muela, G. Schweickardt and F. Garces, "Fuzzy possibilistic model
for medium-term power geration planning with environment criteria,"
Energy policy, vol. 35, pp.5643-5655, 2007.
[14] P. M. Vasant, N.N. Barsoum and A. Bhattacharya, "Possibilistic
optimization in planning decision of construction industry," Int. J.
Production Economics, vol. 111, 2008.
[15] Y.J. Lai and R.C. Wang, "A new approach to some possibilistic linear
programming problems," Fuzzy sets and systems, vol. 49, pp. 121-133,
1992.
[16] H.-M. Hsu and W.-P. Wang, " Possibilistic programming in production
planning of assemble-to-order environment," Fuzzy Sets and Systems,
vol.119, pp. 59-70, 2001.
[17] S.A.Torabi and E.Hassini, "An interaticve possibilistic programming
approach for multiple objective supply chain master planning," Fuzzy
Sets and Systems, vol. 159, pp. 193-214, 2008.
[18] M.A.Parra, A.B. Terol, B.P. Gladish and M.V.R. Uria, "Solving
multiobjective possibilistic problem through compromise
programming," European Journal of Operational Research, vol. 164,
pp.748-759, 2005.
[19] M.S. Pishvaee and S.A. Torabi, "A possibilistic programming approach
for closed loop supply chain network design under uncertainty," Fuzzy
Sets an Systems, vol. 161, pp.1609-1613, 2010.
[20] D.Ozgen, S. Onut, B.Gulsun, U.R. Tuzkaya and G. Tuzkaya, "A twophase
possibilistic linear programming methodology for multi-objective
supplier evaulation and order allocation problems," Information
Sciences, vol. 178, pp. 485-500, 2008.
[21] Y.P.Li and G.H.Huang, "An interval-based possibilistic programming
method for waste management with cost minimization and
environment-impact abatement under uncertainty," Science of the total
environment, vol. 408, pp. 4296-4308, 2010.
[22] O. Kabak and F.Ulengin, "Possibilistic linear-programming approach
for supply chain networking decisions," European journal of operational
research, vol. 209, pp. 253-264, 2011.
[23] Y.-J. Lai nad C.-L. Hwang, Lecture notes in economics and
mathematical systems: Fuzzy multiple objective decision making,
methods and applications. Springer: Great Britain, 1996.
[24] P. Surapati and R.T.Kumar, "Multiobjective transportation model with
fuzzy parameters: Priority based fuzzy goal programming approach,"
Journal of transporation system engineering and information
technology, vol. 8, pp. 40-48, June 2008.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:56710", author = "Phruksaphanrat B.", title = "Preemptive Possibilistic Linear Programming:Application to Aggregate Production Planning", abstract = "This research proposes a Preemptive Possibilistic
Linear Programming (PPLP) approach for solving multiobjective
Aggregate Production Planning (APP) problem with interval demand
and imprecise unit price and related operating costs. The proposed
approach attempts to maximize profit and minimize changes of
workforce. It transforms the total profit objective that has imprecise
information to three crisp objective functions, which are maximizing
the most possible value of profit, minimizing the risk of obtaining the
lower profit and maximizing the opportunity of obtaining the higher
profit. The change of workforce level objective is also converted.
Then, the problem is solved according to objective priorities. It is
easier than simultaneously solve the multiobjective problem as
performed in existing approach. Possible range of interval demand is
also used to increase flexibility of obtaining the better production
plan. A practical application of an electronic company is illustrated to
show the effectiveness of the proposed model.", keywords = "Aggregate production planning, Fuzzy sets theory,Possibilistic linear programming, Preemptive priority", volume = "5", number = "8", pages = "1589-8", }
