الجرح الدائم
07-01-2007, 12:53 AM
السلام عليكم ورحمة الله وبركاته 000000000000000
اتمنى ان يساعدني احد في حل هذا المشروع باستخدام مادة بحوث عمليات في الهندسة الصناعية 00000000000000
والموضوع موجود في الملف المرفق اتمنى المساعدة ولو بالقليل من المعلومات
البحث مطلوب تسليمه بعد يوم واحد 0000000000000000
اتمنى استخراج المعادلات فقط 000000000000بحوث عمليات1000000000000
A lumber company has three sources of wood and five markets to be supplied. The annual availability of wood at sources 1, 2, and 3 is 10, 20, and 15 million board feet, respectively. The amount that can be sold annually at markets 1, 2, 3, 4, and 5 is 7, 12, 9, 10, and 8 million board feet, respectively.
In the past the company has shipped the wood by train. However, because shipping costs have been increasing, the alternative of using ships to make some of the deliveries is being investigated. This alternative would require the company to invest in some ships. Except for these investment costs, the shipping costs in thousands of dollars per million board feet by rail and by water (when feasible) would be the following for each route:
Unit Cost by Rail
Market
Source 1 2 3 4 5
1 61 72 45 55 66
2 69 78 60 49 56
3 59 66 63 61 47
Unit Cost by Ship
Market
1 2 3 4 5
31 38 24 - 31
36 43 28 24 31
- 33 36 32 26
The capital investment (Fixed Costs) (in thousands of dollars) in ships required for each million board feet to be transported annually by ship along each route is given as follows:
Investment for Ships
Market
Source 1 2 3 4 5
1 275 303 238 - 285
2 293 318 270 250 265
3 - 283 275 268 240
Annual cost of these investments is one-tenth the amount given in the table. The company is able to raise only $6,750,000 to invest in ships. The objective is to determine the overall shipping plan that minimizes the total annual cost while meeting this investment budget and the sales demand at the markets. Formulate the linear programming model for this problem.
اتمنى ان يساعدني احد في حل هذا المشروع باستخدام مادة بحوث عمليات في الهندسة الصناعية 00000000000000
والموضوع موجود في الملف المرفق اتمنى المساعدة ولو بالقليل من المعلومات
البحث مطلوب تسليمه بعد يوم واحد 0000000000000000
اتمنى استخراج المعادلات فقط 000000000000بحوث عمليات1000000000000
A lumber company has three sources of wood and five markets to be supplied. The annual availability of wood at sources 1, 2, and 3 is 10, 20, and 15 million board feet, respectively. The amount that can be sold annually at markets 1, 2, 3, 4, and 5 is 7, 12, 9, 10, and 8 million board feet, respectively.
In the past the company has shipped the wood by train. However, because shipping costs have been increasing, the alternative of using ships to make some of the deliveries is being investigated. This alternative would require the company to invest in some ships. Except for these investment costs, the shipping costs in thousands of dollars per million board feet by rail and by water (when feasible) would be the following for each route:
Unit Cost by Rail
Market
Source 1 2 3 4 5
1 61 72 45 55 66
2 69 78 60 49 56
3 59 66 63 61 47
Unit Cost by Ship
Market
1 2 3 4 5
31 38 24 - 31
36 43 28 24 31
- 33 36 32 26
The capital investment (Fixed Costs) (in thousands of dollars) in ships required for each million board feet to be transported annually by ship along each route is given as follows:
Investment for Ships
Market
Source 1 2 3 4 5
1 275 303 238 - 285
2 293 318 270 250 265
3 - 283 275 268 240
Annual cost of these investments is one-tenth the amount given in the table. The company is able to raise only $6,750,000 to invest in ships. The objective is to determine the overall shipping plan that minimizes the total annual cost while meeting this investment budget and the sales demand at the markets. Formulate the linear programming model for this problem.