Robotics and Automation in Construction 2012 Part 6

Tham khảo tài liệu 'robotics and automation in construction 2012 part 6', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Risk and Reliability Analysis of Flexible Construction Robotized Systems 143 completion of t tn - nth completed timed transition Mn - Stable marking reached at the firing of tn Sn - Completion time of tn Tn - Holding time of marking Mn-1 V t n - Number of instances of t among t1 . tn. The dynamic behaviour of an SPN can be explained in the following way at the initial marking Mo set rn t X t 1 V t e Tt M0 and set V t 0 0 V t e Tt. All other parameters tn 1 Tn 1 sn 1 V t n 1 Mn 1 rn 1 can be determined recursively as usually done in discrete event simulation. Recursive equations are given in Zhou Twiss 1998 . The following routing mechanism is used in GSMP Mn 1 0 Mn tn 1 U tn 1 V tn 1 n 1 4 Where 0 is a mapping so that P 0 M t U M P M M t . Following the approach given in Hopkins 2002 we suppose that the distributions of firing times depend on a parameter 0. In perturbation analysis the following results hold Watson Desrochers 1994 where the performance measures under consideration are of the form g M1 t1 T1 . Mn tn in and a shorthand notation g 0 is used a For each 0 g 0 is . continuously differentiable at 0 and the infinitesimal perturbation indicator is dg 9 y gg . dr de ỔT de 1 1 1 b If d e g 0 d0 exists the following perturbation estimator is unbiased ÈO ẳfl 1 l Gl 6 1 1 1 k 1 f ftk 1 Lk tk 1 _ 7 k Ftk 1 Lk tk 1 yk _ Ftk 1 Lk tk 1 yk min rk t Vt e T Mk - tk 1 8 Tk dLk tk 1 _ dx tk 1 9 Lk t is the age of time transition t at Sk Gk gpp k - gDNP k. The sample path M1 0 t1 0 T1 0 . . Mn 0 tn 0 Tn 0 is the nominal path denoted by NP. The gDNP k is the performance measure of the kth degenerated nominal path denoted by DNPk. It is identical to NP except for the sojourn time of the k 1 th stable marking in DNPk. gpp k is the performance measure of a so-called kth perturbed path denoted by PPk. It is identical to DNPk up to time sk. At this instant the order of transition tk and tk 1 is reversed . the firing of tk 1 completes just before that of tk in

Không thể tạo bản xem trước, hãy bấm tải xuống
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.