Research Article

An Effective Computational Algorithm for the Global Solution of a Class of Linear Fractional Programming

Table 2

Comparison of numerical results by using Problem 6.

(p, m, n)The algorithm of the [1]Our algorithm in this paper
Avg (Std).IterAvg (Std).TimeAvg (Std).IterAvg (Std).Time

(2,100,100)48.3571 (17.2386)3.9248 (1.7489)16.8667(5.4267)2.2959 (0.7955)
(2,100,500)67 (27.1833)20.0863 (10.6748)17.3333 (4.7703)8.9810 (2.6774)
(2,100,800)78 (7.1614)42.3103 (19.5719)16.4000 (4.1091)14.3999 (4.2656)
(2,100,1000)75.2308 (24.3145)57.3531 (35.5371)14.9333 (2.5157)16.1681 (3.2219)
(2,100,1500)86.0769 (5.7076)107.0487 (37.6392)15.2667 (2.4891)27.3314 (5.2243)
(2,100,2000)88.5333 (7.7724)152.7871 (62.4697)15 (1.1596)37.5513 (4.4475)
(2,100,2500)92.8462 (5.9979)184.3362 (66.3833)16 (3.0984)54.4253 (12.8335)
(2,100,3000)91.9000 (7.7810)296.6591 (32.0870)15.0667 (2.5157)63.8862 (13.5362)
(3,50,50)230.5217 (74.0483)5.2437 (1.6432)64.9333 (36.3858)3.1009 (1.5003)
(3,50,100)317.6522 (69.9140)10.0783 (2.5300)79.8000 (42.6555)4.8213 (2.4819)
(3,50,200)329 (85.8534)15.6736 (4.0080)99.6667 (55.4997)9.3447 (3.8551)
(3,50,500)367.9412 (85.5055)34.1162 (8.4457)89.7333 (37.3050)18.4939 (8.0485)
(3,50,1000)387.6667 (80.9100)111.7268 (56.1365)86.8667 (27.7101)35.3195 (11.5188)
(3,50,2000)462.6667 (112.0655)242.6109 (117.1050)86.2667 (22.8195)80.6322 (21.9889)
(3,100,50)236.0714 (74.0088)11.4581 (7.0665)78.6000 (65.1356)8.1895 (6.8602)
(3,100,100)252.8182 (74.0362)20.5326 (8.1031)89 (57.1116)12.8639 (8.5089)
(3,100,200)290.8824 (54.0600)44.2078 (20.3639)78.8000 (33.2189)18.2206 (7.6801)
(3,100,300)313.9167 (79.1483)62.4293 (29.0958)79.6667 (33.3500)26.5176 (12.0702)
(3,100,400)326.5333 (72.9421)80.5609 (28.5460)83.0667 (23.9429)36.1708 (11.4116)
(3,100,500)338.5833 (63.1278)91.9672 (36.7591)91.4667 (40.4242)50.8475 (24.0507)