Volume-delay　functions　(VDF)　are　the　critical　building　block　in　static　traffic　assignment　and　general　demand-supply　analysis.　This　paper　aims　to　provide　a　rolling　horizon-based　modeling　framework　to　establish　and　further　calibrate　dynamic　VDF　(DVDF)　for　a　corridor.　The　development　and　application　of　classic　VDF　in　recent　traffic　planning　studies　are　first　reviewed.　Analytical　formulas　based　on　a　rolling　horizon　framework　are　then　developed　to　redefine　critical　elements　in　the　Bureau　of　Public　Roads　(BPR)　function　to　capture　the　time-dependent　volume-delay　relationship.　Time-dependent　average　demand　and　discharge　rate　are　used　in　a　real-world　bottleneck　in　oversaturated　conditions.　By　constructing　an　estimate　or　approximate　for　the　dynamic　degree　of　saturation,　the　proposed　method　could　(i)　better　interpret　the　underlying　mechanism　of　the　time-dependent　demand-delay　function;　(ii)　provide　a　valuable　tool　to　estimate　the　speed　for　a　time　rolling　horizon　with　given　real-time　data　in　practice,　and　(iii)　analyze　the　correlation　between　a　bottleneck　and　upstream　or　downstream　on　a　road　network　to　acquire　accurate　discharge　rates　for　different　situations.　Experiments　using　corridors　in　Beijing　and　Los　Angeles　demonstrate　that　the　proposed　dynamic　analytical　methods　can　outperform　the　traditional　BPR　function　in　dynamic　congestion　cases.　The　results　improve　the　DVDF　goodness-of-fit　from　R　2　of　44%　to　87%　under　different　conditions,　which　sheds　more　light　on　future　online　traffic　simulation　applications.