This research investigates the distribution of food

\r\ndemand for animal food and the optimum amount of that food

\r\nproduction at minimum cost. The data consist of customer purchase

\r\norders for the food of laying hens, price of food for laying hens, cost

\r\nper unit for the food inventory, cost related to food of laying hens in

\r\nwhich the food is out of stock, such as fine, overtime, urgent

\r\npurchase for material. They were collected from January, 1990 to

\r\nDecember, 2013 from a factory in Nakhonratchasima province. The

\r\ncollected data are analyzed in order to explore the distribution of the

\r\nmonthly food demand for the laying hens and to see the rate of

\r\ninventory per unit. The results are used in a stochastic linear

\r\nprogramming model for aggregate planning in which the optimum

\r\nproduction or minimum cost could be obtained. Programming

\r\nalgorithms in MATLAB and tools in Linprog software are used to get

\r\nthe solution. The distribution of the food demand for laying hens and

\r\nthe random numbers are used in the model. The study shows that the

\r\ndistribution of monthly food demand for laying has a normal

\r\ndistribution, the monthly average amount (unit: 30 kg) of production

\r\nfrom January to December. The minimum total cost average for 12

\r\nmonths is Baht 62,329,181.77. Therefore, the production planning

\r\ncan reduce the cost by 14.64% from real cost.<\/p>\r\n","references":"[1] OIE. (2014, Jan 11). \" Industrial indices.\u201d Available:\r\nhttp:\/\/www.oie.go.th\/en\/academic\/index .\r\n[2] H. Wagner, and T.M. Whitin, \"Dynamic Version of Economic Lot\r\nSize Model,\u201d Management Science, 1958, pp. 89-96.\r\n[3] A. F. Veinott, Operation Research Application and Algorithms ,\r\nUnpublished class note for the Program In Operation Research, Stanford\r\nUniversity, 1963, pp. 1096-1097.\r\n[4] S. M. Gupta and L. Brennan, \"Heuristic and Optimal Approaches to\r\nLot-sizing Incorporating Backorder : An Empirical Evaluation,\u201d\r\nINT.JPROD.RES, vol. 30, 1992, pp. 2813-2824.\r\n[5] G. Hadley and T. M. Whitin, \"Analysis of Inventory Systems,\u201d NJ,\r\n1963, pp 42-50.\r\n[6] V. Rungreunganun and et.al , \"Dynamic Lot sizing with Variable\r\nDiscrete Random Demand \u201d , Kasetsart University, Thailand, 2003,\r\npp. 18-20.\r\n[7] P. Charnsethikul, P. Sang-Chuto, P. Tongkhow and et.al, \"Aggregate\r\nplanning under uncertain demands by stochastic programming\r\ntechnique,\u201d OR.Net, Thailand, 2008, pp. 108-202.\r\n[8] W. Sangma, and P. Tongkhow. \"A Stochastic Dynamic Linear\r\nProgramming Approach for Aggregate Planning Problem of Steel\r\nIndustries in Thailand,\u201d The CET 2011, IEEE Proceedings, Shanghai,\r\n2011, pp.303-306.\r\n[9] M. K. Zanjani, M. Nourelfath and D. Ait-Kadi, \"A Multi-Stage\r\nStochastic Programming Approach for Production Planning with\r\nUncertainty in the Quality of Raw Materials and Demand\u201d, CIRRELT,\r\nCanada, 2009, pp.1-22","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 91, 2014"}